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Finding the Third Proportional to 313,742 and 644,163

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Solution

The third proportional to 313,742 and 644,163 is: 1,322,570.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,742 : 644,163 = 644,163 : x
  2. Step 2: Convert to fraction form
    313,742/644,163 = 644,163/x
  3. Step 3: Cross multiply
    313,742x = 644,163 × 644,163
  4. Step 4: Simplify right side
    313,742x = 414,945,970,569
  5. Step 5: Solve for x
    x = 414,945,970,569/313,742
  6. Step 6: Final answer
    x = 1,322,570.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.